54219688942848 has 432 divisors, whose sum is σ = 170526057569280. Its totient is φ = 15160719974400.

The previous prime is 54219688942847. The next prime is 54219688942849. The reversal of 54219688942848 is 84824988691245.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54219688942847) and next prime (54219688942849).

It is a super-2 number, since 2×54219688942848² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54219688942847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5184017043 + ... + 5184027501.

Almost surely, 2^{54219688942848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54219688942848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85263028784640).

54219688942848 is an abundant number, since it is smaller than the sum of its proper divisors (116306368626432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54219688942848 is a wasteful number, since it uses less digits than its factorization.

54219688942848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14146 (or 14119 counting only the distinct ones).

The product of its digits is 2548039680, while the sum is 78.

The spelling of 54219688942848 in words is "fifty-four trillion, two hundred nineteen billion, six hundred eighty-eight million, nine hundred forty-two thousand, eight hundred forty-eight".